Cremona's table of elliptic curves

127743 = 3 · 7² · 11 · 79

Class	r	Atkin-Lehner	Eigenvalues
127743a (1 curve)	1	3+ 7+ 11+ 79+	0 3+  1 7+ 11+  4 -3  8
Curve Equation t Generators 127743a1 [0,-1,1,-16235,-790231] 1 [373:6701:1]
127743b (1 curve)	2	3+ 7+ 11- 79+	1 3+ -4 7+ 11- -6  3  3
Curve Equation t Generators 127743b1 [1,1,0,-510752,140283165] 1 [4598:46365:8]&[412:-213:1]
127743c (1 curve)	2	3+ 7+ 11- 79+	-2 3+ -1 7+ 11-  6 -3  0
Curve Equation t Generators 127743c1 [0,-1,1,-4916,-68902] 1 [82:269:1]&[-422:1613:8]
127743d (1 curve)	0	3+ 7- 11+ 79+	0 3+ -2 7- 11+  5  4  1
Curve Equation t 127743d1 [0,-1,1,-9179,-1733089] 1
127743e (4 curves)	0	3+ 7- 11+ 79+	-1 3+ -2 7- 11+  2 -2 -4
Curve Equation t 127743e1 [1,1,1,-80214,-8205198] 2 127743e2 [1,1,1,-258819,40875456] 4 127743e3 [1,1,1,541596,244501032] 2 127743e4 [1,1,1,-3916914,2981983836] 2
127743f (1 curve)	1	3+ 7- 11+ 79-	0 3+ -2 7- 11+ -1  0  3
Curve Equation t Generators 127743f1 [0,-1,1,1111,-40384] 1 [26:73:1]
127743g (2 curves)	1	3+ 7- 11+ 79-	0 3+ -3 7- 11+  4  3 -2
Curve Equation t Generators 127743g1 [0,-1,1,-4377,110900] 1 [44:39:1] 127743g2 [0,-1,1,-352767,80763185] 1 [2746:-3:8]
127743h (2 curves)	1	3+ 7- 11+ 79-	1 3+  2 7- 11+  2  6 -6
Curve Equation t Generators 127743h1 [1,1,0,-56144,5093523] 2 [-1642:23481:8] 127743h2 [1,1,0,-898139,327240810] 2 [2244190:96962333:1000]
127743i (2 curves)	1	3+ 7- 11+ 79-	-1 3+  0 7- 11+  4 -2  6
Curve Equation t Generators 127743i1 [1,1,1,-670958,-741059782] 2 [44812062:1899943577:19683] 127743i2 [1,1,1,-17064643,-27082432840] 2 [11992993180875:-360881859575287:2315685267]
127743j (4 curves)	1	3+ 7- 11+ 79-	-1 3+ -2 7- 11+ -2  2  8
Curve Equation t Generators 127743j1 [1,1,1,1861,-26608] 2 [38:298:1] 127743j2 [1,1,1,-10144,-257104] 4 [-64:399:1] 127743j3 [1,1,1,-66739,6421106] 4 [475:8827:1] 127743j4 [1,1,1,-145629,-21446958] 2 [533:6993:1]
127743k (1 curve)	1	3+ 7- 11+ 79-	2 3+  4 7- 11+  1 -4 -7
Curve Equation t Generators 127743k1 [0,-1,1,-105366,15675239] 1 [4920162:49822007:17576]
127743l (2 curves)	1	3+ 7- 11- 79+	-1 3+  0 7- 11- -2  2  6
Curve Equation t Generators 127743l1 [1,1,1,-78,-78] 2 [-8:14:1] 127743l2 [1,1,1,307,-232] 2 [3:25:1]
127743m (2 curves)	1	3+ 7- 11- 79+	-1 3+ -4 7- 11- -4 -6  6
Curve Equation t Generators 127743m1 [1,1,1,-1205,-14974] 2 [-22:49:1] 127743m2 [1,1,1,1630,-71674] 2 [48:322:1]
127743n (1 curve)	0	3+ 7- 11- 79-	0 3+  0 7- 11-  1  2 -7
Curve Equation t 127743n1 [0,-1,1,-3103,-65619] 1
127743o (1 curve)	2	3+ 7- 11- 79-	0 3+  0 7- 11- -1 -2 -1
Curve Equation t Generators 127743o1 [0,-1,1,-24733,1778160] 1 [-156:1347:1]&[-134:1633:1]
127743p (2 curves)	0	3+ 7- 11- 79-	1 3+  0 7- 11- -6 -2  4
Curve Equation t 127743p1 [1,1,0,-66361950,-208105513713] 2 127743p2 [1,1,0,-65561535,-213369202836] 2
127743q (2 curves)	0	3+ 7- 11- 79-	1 3+ -2 7- 11- -4 -6  8
Curve Equation t 127743q1 [1,1,0,-2181,-8784] 2 127743q2 [1,1,0,-26436,-1662975] 2
127743r (1 curve)	0	3+ 7- 11- 79-	1 3+  4 7- 11- -4 -3  5
Curve Equation t 127743r1 [1,1,0,-6683233,7515794770] 1
127743s (1 curve)	0	3+ 7- 11- 79-	-2 3+  3 7- 11-  6  7 -2
Curve Equation t 127743s1 [0,-1,1,-130454,-5145988] 1
127743t (2 curves)	1	3- 7+ 11+ 79-	0 3-  3 7+ 11+ -4 -3  2
Curve Equation t Generators 127743t1 [0,1,1,-214489,-37609820] 3 [277370:51643007:8] 127743t2 [0,1,1,-17285599,-27667201355] 1 [11927176030:2207466218917:343000]
127743u (1 curve)	0	3- 7+ 11- 79-	1 3- -4 7+ 11-  4  3 -5
Curve Equation t 127743u1 [1,0,1,-136393,-21931423] 1
127743v (1 curve)	2	3- 7+ 11- 79-	-2 3- -3 7+ 11- -6 -7  2
Curve Equation t Generators 127743v1 [0,1,1,-2662,14242] 1 [2:-95:1]&[-40:241:1]
127743w (1 curve)	1	3- 7- 11+ 79+	0 3- -1 7- 11+  2 -4  0
Curve Equation t Generators 127743w1 [0,1,1,-250651,48219364] 1 [464:5659:1]
127743x (1 curve)	1	3- 7- 11+ 79+	0 3- -1 7- 11+ -4  3 -8
Curve Equation t Generators 127743x1 [0,1,1,-331,2209] 1 [11:4:1]
127743y (1 curve)	1	3- 7- 11+ 79+	0 3-  2 7- 11+ -1 -4  3
Curve Equation t Generators 127743y1 [0,1,1,10796203,-516620737] 1 [12259:1405099:1]
127743z (1 curve)	1	3- 7- 11+ 79+	-2 3- -2 7- 11+ -3  2  5
Curve Equation t Generators 127743z1 [0,1,1,-1094,37076] 1 [37:220:1]
127743ba (1 curve)	1	3- 7- 11+ 79+	-2 3- -3 7- 11+ -4  0 -4
Curve Equation t Generators 127743ba1 [0,1,1,-16351512,-25455288190] 1 [5731056:420001102:729]
127743bb (1 curve)	1	3- 7- 11+ 79+	-2 3-  4 7- 11+  3  0  3
Curve Equation t Generators 127743bb1 [0,1,1,-313453016,2136315568328] 1 [10348:29767:1]
127743bc (2 curves)	0	3- 7- 11+ 79-	1 3- -2 7- 11+ -2 -6  6
Curve Equation t 127743bc1 [1,0,1,-2751082,-1755331609] 2 127743bc2 [1,0,1,-44008837,-112375624315] 2
127743bd (2 curves)	2	3- 7- 11+ 79-	-1 3-  0 7- 11+ -4  2 -6
Curve Equation t Generators 127743bd1 [1,0,0,-13693,2158568] 2 [-1154:9109:8]&[-101:1636:1] 127743bd2 [1,0,0,-348258,78907779] 2 [-219:12138:1]&[-66:10113:1]
127743be (1 curve)	0	3- 7- 11+ 79-	2 3-  0 7- 11+ -1  0  7
Curve Equation t 127743be1 [0,1,1,3512,13801] 1
127743bf (1 curve)	0	3- 7- 11- 79+	1 3-  4 7- 11-  6 -3 -3
Curve Equation t 127743bf1 [1,0,1,-25026874,-48192206191] 1
127743bg (2 curves)	0	3- 7- 11- 79+	-1 3-  0 7- 11-  2 -2 -6
Curve Equation t 127743bg1 [1,0,0,-3823,15224] 2 127743bg2 [1,0,0,15042,124641] 2
127743bh (4 curves)	0	3- 7- 11- 79+	-1 3-  2 7- 11-  6 -2 -4
Curve Equation t 127743bh1 [1,0,0,-413512,-102374833] 2 127743bh2 [1,0,0,-443157,-86858640] 4 127743bh3 [1,0,0,1047178,-545583753] 2 127743bh4 [1,0,0,-2407812,1365021405] 2
127743bi (2 curves)	0	3- 7- 11- 79+	-1 3-  4 7- 11-  4  6 -6
Curve Equation t 127743bi1 [1,0,0,-59046,4958883] 2 127743bi2 [1,0,0,79869,24823728] 2
127743bj (1 curve)	2	3- 7- 11- 79+	-2 3-  1 7- 11- -6  3  0
Curve Equation t Generators 127743bj1 [0,1,1,-100,172] 1 [-1:-17:1]&[10:53:8]
127743bk (1 curve)	1	3- 7- 11- 79-	0 3-  0 7- 11-  1  2  1
Curve Equation t Generators 127743bk1 [0,1,1,-1211933,-607485112] 1 [16186:2054398:1]
127743bl (2 curves)	1	3- 7- 11- 79-	1 3- -4 7- 11-  2  2  0
Curve Equation t Generators 127743bl1 [1,0,1,-133735383,-305160520283] 2 [-67178:3834591:8] 127743bl2 [1,0,1,449767152,-2251724977043] 2 [88054:16020303:8]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations